Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.

DOI10.7146/MATH.SCAND.A-12493zbMath0835.35035OpenAlexW1491501072MaRDI QIDQ4842060

Joan Verdera, Peter V. Paramonov

Publication date: 15 April 1996

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167294

zbMATH Keywords

Fréchet spaceweighted uniform approximationapproximation by analytic or harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation in the complex plane (30E10) Second-order elliptic equations (35J15)

Related Items (8)

\(C^1\) approximation of functions by solutions of second-order elliptic systems on compact sets in \(\mathbb{R}^2\) ⋮ New criteria for uniform approximability by harmonic functions on compact sets in \(\mathbb{R}^2\) ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions ⋮ 𝐿𝑖𝑝𝛼 harmonic approximation on closed sets ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of ⋮ On $\mathcal {C}^m$-approximability of functions by polynomial solutions of elliptic equations on plane compact sets ⋮ Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem

This page was built for publication: Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.